Since 1963
ARTICLE
Magneto-elastic combined multidimensional resonance of a rotating circular plate in a double-direction magnetic field
1
School of Civil Engineering and Mechanics, Yanshan University, Qinhuangdao
2
Hebei Key Laboratory of Mechanical Reliability for Heavy Equipments and Large Structures, Yanshan University,
Qinhuangdao
Submission date: 2019-01-16
Acceptance date: 2019-05-06
Online publication date: 2019-10-15
Publication date: 2019-10-15
Journal of Theoretical and Applied Mechanics 2019;57(4):883-895
KEYWORDS
magneto-elasticannular platemulti-dimensional vibrationcombination resonancethe method of multiple scales
ABSTRACT
Magneto-elastic nonlinear non-axisymmetric resonance is investigated for a rotating annular
plate in a double-direction magnetic field. According to transverse and longitudinal magnetoelastic
non-axisymmetric vibration equations of the thin annular plate, and considering the
influence of the static load term, non-axisymmetric vibration differential equations by combined
parametric and forced excitations are obtained through application of the Galerkin
method. Then, the method of multiple scales is applied to solve differential vibration equations.
By numerical computations, the influence of magnetic induction intensity, inner and
outer diameters, excitation and radial forces on transverse and longitudinal resonance characteristics
are analyzed.
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| eISSN: | 2543-6309 |
| ISSN: | 1429-2955 |
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